Higher-Order Generalized Invexity in Control Problems

الملخص EN

We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem.

Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems.

Also, we establish few examples in support of our investigation.